Search a number
-
+
3225255444252 = 22324323317535101
BaseRepresentation
bin101110111011110000001…
…101000111111100011100
3102102022221121010110101200
4232323300031013330130
5410320310343204002
610505354545235500
7452005556640642
oct56736015077434
912368847113350
103225255444252
111033906685a56
124410ab632b90
131a51a928301a
14b2163257192
1558d69ee7b1c
hex2eef0347f1c

3225255444252 has 144 divisors (see below), whose sum is σ = 8384554065888. Its totient is φ = 1044775065600.

The previous prime is 3225255444247. The next prime is 3225255444287. The reversal of 3225255444252 is 2524445525223.

3225255444252 is a `hidden beast` number, since 3 + 2 + 2 + 5 + 2 + 554 + 4 + 42 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3225255444198 and 3225255444207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632276502 + ... + 632281602.

It is an arithmetic number, because the mean of its divisors is an integer number (58226069902).

Almost surely, 23225255444252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225255444252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192277032944).

3225255444252 is an abundant number, since it is smaller than the sum of its proper divisors (5159298621636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3225255444252 is a wasteful number, since it uses less digits than its factorization.

3225255444252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7140 (or 7135 counting only the distinct ones).

The product of its digits is 3840000, while the sum is 45.

The spelling of 3225255444252 in words is "three trillion, two hundred twenty-five billion, two hundred fifty-five million, four hundred forty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 233 258 387 466 516 699 774 932 1398 1548 1753 2097 2796 3506 4194 5101 5259 7012 8388 10019 10202 10518 15303 15777 20038 20404 21036 30057 30606 31554 40076 45909 60114 61212 63108 75379 90171 91818 120228 150758 180342 183636 219343 226137 301516 360684 408449 438686 452274 658029 678411 816898 877372 904548 1188533 1225347 1316058 1356822 1633796 1974087 2377066 2450694 2632116 2713644 3565599 3676041 3948174 4754132 4901388 7131198 7352082 7896348 8942053 10696797 14262396 14704164 17563307 17884106 21393594 26826159 35126614 35768212 42787188 51106919 52689921 53652318 70253228 80478477 102213838 105379842 107304636 153320757 158069763 160956954 204427676 210759684 306641514 316139526 321913908 384508279 459962271 613283028 632279052 769016558 919924542 1153524837 1538033116 1839849084 2083498349 2307049674 3460574511 4166996698 4614099348 6250495047 6921149022 8333993396 12500990094 13842298044 18751485141 25001980188 37502970282 75005940564 89590429007 179180858014 268771287021 358361716028 537542574042 806313861063 1075085148084 1612627722126 3225255444252